Pith Number

pith:IGW4R342

pith:2012:IGW4R342QP5T7GEIT7OTYHMWLG

not attested not anchored not stored refs pending

On the minimum order of a quadrangulation on a given closed 2-manifold

Serge Lawrencenko

arxiv:1208.5207 v1 · 2012-08-26 · math.CO · cs.DM · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGW4R342QP5T7GEIT7OTYHMWLG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:47:00.165914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41adc8ef9a83fb3f98889fdd3c1d96599c15f1ee9c2179c394bbf8f47f282fa7

Aliases

arxiv: 1208.5207 · arxiv_version: 1208.5207v1 · doi: 10.48550/arxiv.1208.5207 · pith_short_12: IGW4R342QP5T · pith_short_16: IGW4R342QP5T7GEI · pith_short_8: IGW4R342

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IGW4R342QP5T7GEIT7OTYHMWLG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 41adc8ef9a83fb3f98889fdd3c1d96599c15f1ee9c2179c394bbf8f47f282fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3203afded17cd88c62005e81f5e41e53c5ece0b62f0038e2eb78d29af340163",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-26T09:31:23Z",
    "title_canon_sha256": "7d1bbc715855d33ef0d50672d8c59b6a340501bfe38318ac47f942ec458884e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5207",
    "kind": "arxiv",
    "version": 1
  }
}